In geometry, the Exeter point is a special point associated with a plane triangle. It is a triangle center and is designated as X(22)[1] in Clark Kimberling's Encyclopedia of Triangle Centers. This was discovered in a computers-in-mathematics workshop at Phillips Exeter Academy in 1986.[2] This is one of the recent triangle centers, unlike the classical triangle centers like centroid, incenter, and Steiner point.[3]
The Exeter point is defined as follows.[2][4]
The trilinear coordinates of the Exeter point are